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Recent work suggests that some auto-encoder variants do a good job of capturing the local manifold structure of the unknown data generating density. This paper contributes to the mathematical understanding of this phenomenon and helps…

Machine Learning · Computer Science 2012-07-03 Yoshua Bengio , Guillaume Alain , Salah Rifai

In this paper we investigate the non-linear and ill-posed inverse problem of simultaneously identifying the conductivity and the reaction in diffuse optical tomography with noisy measurement data available on an accessible part of the…

Numerical Analysis · Mathematics 2020-07-10 Tran Nhan Tam Quyen

A recently introduced tuning-dressed scheme makes a Bell and Bloom magnetometer suited to detect weak variations of a radio-frequency (RF) magnetic field. We envisage the application of such innovative detection scheme as an alternative (or…

Instrumentation and Detectors · Physics 2021-11-03 Giuseppe Bevilacqua , Valerio Biancalana , Yordanka Dancheva , Alessandro Fregosi , Gaetano Napoli , Antonio Vigilante

Room geometry inference algorithms rely on the localization of acoustic reflectors to identify boundary surfaces of an enclosure. Rooms with highly absorptive walls or walls at large distances from the measurement setup pose challenges for…

Audio and Speech Processing · Electrical Eng. & Systems 2024-02-12 H. Nazim Bicer , Cagdas Tuna , Andreas Walther , Emanuël A. P. Habets

When an electrically conducting non-magnetic particle is subjected to a spatially varying and oscillating applied magnetic field of amplitude $\mathcal{H} + \mathcal{G} \cdot x$ and frequency $\omega$, an oscillating eddy current is…

Classical Physics · Physics 2026-04-08 V. Kumaran

Real-time monitoring of carbon fibre composites during Automated Fibre Placement (AFP) manufacturing remains a challenge for non-destructive evaluation (NDE) techniques. An directional eddy-current (EC) probe with asymmetric transmit and…

Instrumentation and Detectors · Physics 2024-10-22 Meirbek Mussatayev , Qiuji Yi , Mark Fitzgerald , Vincent K. Maes , Paul Wilcox , Robert Hughes

Effective demagnetizing factors that connect the sample magnetic moment with the applied magnetic field are calculated numerically for perfectly diamagnetic samples of various non-ellipsoidal shapes. The procedure is based on calculating…

Superconductivity · Physics 2018-08-01 R. Prozorov , V. G. Kogan

The magnetic focusing of electrons has proven its utility in fundamental studies of electron transport. Here we report the direct imaging of magnetic focusing of electron waves, specifically in a two-dimensional electron gas (2DEG). We see…

Mesoscale and Nanoscale Physics · Physics 2007-08-08 K. E. Aidala , R. E. Parrott , T. Kramer , E. J. Heller , R. M. Westervelt , M. P. Hanson , A. C. Gossard

Purpose: Eddy currents might lead to image distortions in diffusion weighted echo planar imaging. A method is proposed to reduce their effects on double diffusion encoding (DDE) MRI experiments and the thereby derived microscopic fractional…

Medical Physics · Physics 2021-04-20 Lars Mueller , Andreas Wetscherek , Tristan Anselm Kuder , Frederik Bernd Laun

Mesoscale eddies are critical in ocean circulation and the global climate system. Standard eddy identification methods are usually based on deterministic optimal point estimates of the ocean flow field. However, uncertainty exists in…

Dynamical Systems · Mathematics 2024-09-24 Jeffrey Covington , Nan Chen , Stephen Wiggins , Evelyn Lunasin

Location estimation is a central problem in functional data analysis. In this paper, we investigate penalized spline estimators of location for discretely sampled functional data under a broad class of convex loss functions. Our framework…

Methodology · Statistics 2025-08-19 Ioannis Kalogridis

We consider the problem of electron transport along a one-dimensional disordered multiple-scattering conductor, and study the electron density for all the electronic levels. A model is proposed for the reduced density matrix of the system…

Disordered Systems and Neural Networks · Physics 2023-03-14 Gerardo Rivas , Miztli Yepez , Pier A. Mello

On the basis of input-output time-domain data collected from a complex simulator, this paper proposes a constructive methodology to infer a reduced-order linear, bilinear or quadratic time invariant dynamical model reproducing the…

Dynamical Systems · Mathematics 2020-12-15 Charles Poussot-Vassal , Tiphaine Sabatier , Claire Sarrat , Pierre Vuillemin

Non-invasive assessment of the electrical activation pattern can significantly contribute to the diagnosis and treatment of cardiac arrhythmias, due to faster and safer diagnosis, improved surgical planning and easier follow-up. One…

Medical Physics · Physics 2024-01-09 Nathan Dermul , Hans Dierckx

The implementation of strategies for fault detection and diagnosis on rotating electrical machines is crucial for the reliability and safety of modern industrial systems. The contribution of this work is a methodology that combines…

Systems and Control · Electrical Eng. & Systems 2023-06-19 María Barroso , José M. Bossio , Carlos M. Alaíz , Ángela Fernández

The availability of vector magnetogram sequences with sufficient accuracy and cadence to estimate the time derivative of the magnetic field allows us to use Faraday's law to find an approximate solution for the electric field in the…

Solar and Stellar Astrophysics · Physics 2015-05-27 George H. Fisher , Brian T. Welsch , William P. Abbett

We consider the problem of determining a small elliptical conductivity anomaly in a unit disc from boundary measurements. The conductivity of the anomaly is assumed to be a small perturbation from the constant background. A measurement of…

Numerical Analysis · Mathematics 2024-03-19 Gaoming Chen , Fadil Santosa , Aseel Titi

We consider the inverse problem of recovering an isotropic electrical conductivity from interior knowledge of the magnitude of one current density field generated by applying current on a set of electrodes. The required interior data can be…

Analysis of PDEs · Mathematics 2016-05-09 Adrian Nachman , Alexandru Tamasan , Johann Veras

We develop two inverse scattering schemes for locating multiple electromagnetic (EM) scatterers by the electric far-field measurement corresponding to a single incident/detecting plane wave. The first scheme is for locating scatterers of…

Analysis of PDEs · Mathematics 2013-01-28 Jingzhi Li , Hongyu Liu , Zaijiu Shang , Hongpeng Sun

The invariants of an attractor have been the most used resource to characterize a nonlinear dynamics. Their estimation is a challenging endeavor in short-time series and/or in presence of noise. In this article we present two new…

Chaotic Dynamics · Physics 2017-12-13 Juan F. Restrepo , Gastón Schlotthauer
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